Hyperbolic Games 2.1.4
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Free Version
Publisher Description
The Hyperbolic Games are similar in spirit to the Torus Games, but played on curved surfaces. Most people will want to start with the Torus Games instead, which offer a selection of easily playable games, designed for children ages 10 and up, all implemented in multi-connected spaces in 2 and 3 dimensions.
The Hyperbolic Games, by contrast, are for math students — advanced undergraduates and beginning graduate students. These games are more challenging than the Torus Games because they combine a multi-connected topology with a non-Euclidean geometry. Mathematically they illustrate the following:
- The hyperbolic plane, as a live scrollable object.
- The under-appreciated fact that the two traditional models of the hyperbolic plane are simply different views of the same fixed-radius surface in Minkowski space: the Beltrami-Klein model corresponds to a viewpoint at the origin (central projection) while the Poincaré disk model corresponds to a viewpoint one radian further back (stereographic projection). Players may pinch-to-zoom to pass from one to the other, or stop to view the model from any other distance.
- The strong — but also under-appreciated — correspondence between the hyperbolic plane and an ordinary sphere. In particular, central projection of the sphere corresponds to the Beltrami-Klein model of the hyperbolic plane, and stereographic projection of the sphere corresponds to the Poincaré disk model of the hyperbolic plane.
- The Klein quartic surface, viewed with its natural geometry. The sudoku puzzles take full advantage of the Klein quartic’s tremendous amount of symmetry.
Sep 4, 2020
Version 2.1.4
Supports Wide Color displays
About Hyperbolic Games
Hyperbolic Games is a free app for iOS published in the Kids list of apps, part of Education.
The company that develops Hyperbolic Games is Jeff Weeks. The latest version released by its developer is 2.1.4.
To install Hyperbolic Games on your iOS device, just click the green Continue To App button above to start the installation process. The app is listed on our website since 2020-09-04 and was downloaded 1 times. We have already checked if the download link is safe, however for your own protection we recommend that you scan the downloaded app with your antivirus. Your antivirus may detect the Hyperbolic Games as malware if the download link is broken.
How to install Hyperbolic Games on your iOS device:
- Click on the Continue To App button on our website. This will redirect you to the App Store.
- Once the Hyperbolic Games is shown in the iTunes listing of your iOS device, you can start its download and installation. Tap on the GET button to the right of the app to start downloading it.
- If you are not logged-in the iOS appstore app, you'll be prompted for your your Apple ID and/or password.
- After Hyperbolic Games is downloaded, you'll see an INSTALL button to the right. Tap on it to start the actual installation of the iOS app.
- Once installation is finished you can tap on the OPEN button to start it. Its icon will also be added to your device home screen.
